<div>
<div>
<div>
<p>Estimation of periodic signals, based on quantized data, is a
topic of general interest in the area of instrumentation and measurement.
While several methods are available, new applications require low-power,
low-complexity, and adequate estimation accuracy. In this paper, we
consider the simplest possible quantization, that is binary quantization,
and describe a technique to estimate the parameters of a sampled periodic
signal, using a fast algorithm. By neglecting the possibility that the
sampling process is triggered by some signal-derived event, sampling
is assumed to be asynchronous, that is the ratio between the signal and
the sampling periods is defined to be an irrational number. To preserve
enough information at the quantizer output, additive Gaussian input
noise is assumed as the information encoding mechanism. With respect
to published techniques addressing the same problem, the proposed
approach does not rely on the numerical estimation of the maximum
likelihood function, but provides solutions that are very closed to this
estimate. At the same time, since the main estimator is based on
matrix inversion, it proves to be less time-consuming than the numerical
maximization of the likelihood function, especially when solving problems
with a large number of parameters. The estimation procedure is described
in detail and validated using both simulation and experimental results.
The estimator performance limitations are also highlighted.
</p>
</div>
</div>
</div>